Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(79,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.e (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{5})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + 2x^{2} + x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 508.1 | ||
Root | \(-0.309017 - 0.535233i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.508 |
Dual form | 637.2.e.h.79.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.190983 | + | 0.330792i | 0.135045 | + | 0.233905i | 0.925615 | − | 0.378467i | \(-0.123549\pi\) |
−0.790569 | + | 0.612372i | \(0.790215\pi\) | |||||||
\(3\) | 1.11803 | − | 1.93649i | 0.645497 | − | 1.11803i | −0.338689 | − | 0.940898i | \(-0.609984\pi\) |
0.984186 | − | 0.177136i | \(-0.0566831\pi\) | |||||||
\(4\) | 0.927051 | − | 1.60570i | 0.463525 | − | 0.802850i | ||||
\(5\) | −1.11803 | − | 1.93649i | −0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | \(-0.333333\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(6\) | 0.854102 | 0.348686 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.47214 | 0.520479 | ||||||||
\(9\) | −1.00000 | − | 1.73205i | −0.333333 | − | 0.577350i | ||||
\(10\) | 0.427051 | − | 0.739674i | 0.135045 | − | 0.233905i | ||||
\(11\) | 1.50000 | − | 2.59808i | 0.452267 | − | 0.783349i | −0.546259 | − | 0.837616i | \(-0.683949\pi\) |
0.998526 | + | 0.0542666i | \(0.0172821\pi\) | |||||||
\(12\) | −2.07295 | − | 3.59045i | −0.598409 | − | 1.03647i | ||||
\(13\) | 1.00000 | 0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −5.00000 | −1.29099 | ||||||||
\(16\) | −1.57295 | − | 2.72443i | −0.393237 | − | 0.681107i | ||||
\(17\) | −3.73607 | + | 6.47106i | −0.906130 | + | 1.56946i | −0.0867359 | + | 0.996231i | \(0.527644\pi\) |
−0.819394 | + | 0.573231i | \(0.805690\pi\) | |||||||
\(18\) | 0.381966 | − | 0.661585i | 0.0900303 | − | 0.155937i | ||||
\(19\) | 1.50000 | + | 2.59808i | 0.344124 | + | 0.596040i | 0.985194 | − | 0.171442i | \(-0.0548427\pi\) |
−0.641071 | + | 0.767482i | \(0.721509\pi\) | |||||||
\(20\) | −4.14590 | −0.927051 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.14590 | 0.244306 | ||||||||
\(23\) | 1.88197 | + | 3.25966i | 0.392417 | + | 0.679686i | 0.992768 | − | 0.120051i | \(-0.0383057\pi\) |
−0.600351 | + | 0.799737i | \(0.704972\pi\) | |||||||
\(24\) | 1.64590 | − | 2.85078i | 0.335968 | − | 0.581913i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.190983 | + | 0.330792i | 0.0374548 | + | 0.0648737i | ||||
\(27\) | 2.23607 | 0.430331 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.47214 | −0.830455 | −0.415227 | − | 0.909718i | \(-0.636298\pi\) | ||||
−0.415227 | + | 0.909718i | \(0.636298\pi\) | |||||||
\(30\) | −0.954915 | − | 1.65396i | −0.174343 | − | 0.301971i | ||||
\(31\) | 2.50000 | − | 4.33013i | 0.449013 | − | 0.777714i | −0.549309 | − | 0.835619i | \(-0.685109\pi\) |
0.998322 | + | 0.0579057i | \(0.0184423\pi\) | |||||||
\(32\) | 2.07295 | − | 3.59045i | 0.366449 | − | 0.634708i | ||||
\(33\) | −3.35410 | − | 5.80948i | −0.583874 | − | 1.01130i | ||||
\(34\) | −2.85410 | −0.489474 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.70820 | −0.618034 | ||||||||
\(37\) | 4.35410 | + | 7.54153i | 0.715810 | + | 1.23982i | 0.962646 | + | 0.270762i | \(0.0872757\pi\) |
−0.246836 | + | 0.969057i | \(0.579391\pi\) | |||||||
\(38\) | −0.572949 | + | 0.992377i | −0.0929446 | + | 0.160985i | ||||
\(39\) | 1.11803 | − | 1.93649i | 0.179029 | − | 0.310087i | ||||
\(40\) | −1.64590 | − | 2.85078i | −0.260239 | − | 0.450748i | ||||
\(41\) | −4.47214 | −0.698430 | −0.349215 | − | 0.937043i | \(-0.613552\pi\) | ||||
−0.349215 | + | 0.937043i | \(0.613552\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.00000 | −1.21999 | −0.609994 | − | 0.792406i | \(-0.708828\pi\) | ||||
−0.609994 | + | 0.792406i | \(0.708828\pi\) | |||||||
\(44\) | −2.78115 | − | 4.81710i | −0.419275 | − | 0.726205i | ||||
\(45\) | −2.23607 | + | 3.87298i | −0.333333 | + | 0.577350i | ||||
\(46\) | −0.718847 | + | 1.24508i | −0.105988 | + | 0.183577i | ||||
\(47\) | 0.736068 | + | 1.27491i | 0.107367 | + | 0.185964i | 0.914703 | − | 0.404128i | \(-0.132425\pi\) |
−0.807336 | + | 0.590092i | \(0.799091\pi\) | |||||||
\(48\) | −7.03444 | −1.01533 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 8.35410 | + | 14.4697i | 1.16981 | + | 2.02617i | ||||
\(52\) | 0.927051 | − | 1.60570i | 0.128559 | − | 0.222670i | ||||
\(53\) | −0.736068 | + | 1.27491i | −0.101107 | + | 0.175122i | −0.912141 | − | 0.409877i | \(-0.865572\pi\) |
0.811034 | + | 0.584999i | \(0.198905\pi\) | |||||||
\(54\) | 0.427051 | + | 0.739674i | 0.0581143 | + | 0.100657i | ||||
\(55\) | −6.70820 | −0.904534 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.70820 | 0.888523 | ||||||||
\(58\) | −0.854102 | − | 1.47935i | −0.112149 | − | 0.194248i | ||||
\(59\) | 3.73607 | − | 6.47106i | 0.486395 | − | 0.842460i | −0.513483 | − | 0.858100i | \(-0.671645\pi\) |
0.999878 | + | 0.0156395i | \(0.00497842\pi\) | |||||||
\(60\) | −4.63525 | + | 8.02850i | −0.598409 | + | 1.03647i | ||||
\(61\) | 1.50000 | + | 2.59808i | 0.192055 | + | 0.332650i | 0.945931 | − | 0.324367i | \(-0.105151\pi\) |
−0.753876 | + | 0.657017i | \(0.771818\pi\) | |||||||
\(62\) | 1.90983 | 0.242549 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.70820 | −0.588525 | ||||||||
\(65\) | −1.11803 | − | 1.93649i | −0.138675 | − | 0.240192i | ||||
\(66\) | 1.28115 | − | 2.21902i | 0.157699 | − | 0.273143i | ||||
\(67\) | 1.50000 | − | 2.59808i | 0.183254 | − | 0.317406i | −0.759733 | − | 0.650236i | \(-0.774670\pi\) |
0.942987 | + | 0.332830i | \(0.108004\pi\) | |||||||
\(68\) | 6.92705 | + | 11.9980i | 0.840028 | + | 1.45497i | ||||
\(69\) | 8.41641 | 1.01322 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.94427 | 1.06149 | 0.530745 | − | 0.847532i | \(-0.321912\pi\) | ||||
0.530745 | + | 0.847532i | \(0.321912\pi\) | |||||||
\(72\) | −1.47214 | − | 2.54981i | −0.173493 | − | 0.300498i | ||||
\(73\) | 5.35410 | − | 9.27358i | 0.626650 | − | 1.08539i | −0.361569 | − | 0.932345i | \(-0.617759\pi\) |
0.988219 | − | 0.153045i | \(-0.0489079\pi\) | |||||||
\(74\) | −1.66312 | + | 2.88061i | −0.193334 | + | 0.334864i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.56231 | 0.638040 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.854102 | 0.0967080 | ||||||||
\(79\) | −5.35410 | − | 9.27358i | −0.602384 | − | 1.04336i | −0.992459 | − | 0.122576i | \(-0.960884\pi\) |
0.390076 | − | 0.920783i | \(-0.372449\pi\) | |||||||
\(80\) | −3.51722 | + | 6.09201i | −0.393237 | + | 0.681107i | ||||
\(81\) | 5.50000 | − | 9.52628i | 0.611111 | − | 1.05848i | ||||
\(82\) | −0.854102 | − | 1.47935i | −0.0943198 | − | 0.163367i | ||||
\(83\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 16.7082 | 1.81226 | ||||||||
\(86\) | −1.52786 | − | 2.64634i | −0.164754 | − | 0.285362i | ||||
\(87\) | −5.00000 | + | 8.66025i | −0.536056 | + | 0.928477i | ||||
\(88\) | 2.20820 | − | 3.82472i | 0.235395 | − | 0.407717i | ||||
\(89\) | −1.11803 | − | 1.93649i | −0.118511 | − | 0.205268i | 0.800667 | − | 0.599110i | \(-0.204479\pi\) |
−0.919178 | + | 0.393842i | \(0.871146\pi\) | |||||||
\(90\) | −1.70820 | −0.180061 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 6.97871 | 0.727581 | ||||||||
\(93\) | −5.59017 | − | 9.68246i | −0.579674 | − | 1.00402i | ||||
\(94\) | −0.281153 | + | 0.486971i | −0.0289987 | + | 0.0502272i | ||||
\(95\) | 3.35410 | − | 5.80948i | 0.344124 | − | 0.596040i | ||||
\(96\) | −4.63525 | − | 8.02850i | −0.473084 | − | 0.819405i | ||||
\(97\) | 17.4164 | 1.76837 | 0.884184 | − | 0.467139i | \(-0.154715\pi\) | ||||
0.884184 | + | 0.467139i | \(0.154715\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −6.00000 | −0.603023 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −4.50000 | + | 7.79423i | −0.447767 | + | 0.775555i | −0.998240 | − | 0.0592978i | \(-0.981114\pi\) |
0.550474 | + | 0.834853i | \(0.314447\pi\) | |||||||
\(102\) | −3.19098 | + | 5.52694i | −0.315954 | + | 0.547249i | ||||
\(103\) | 5.35410 | + | 9.27358i | 0.527555 | + | 0.913753i | 0.999484 | + | 0.0321160i | \(0.0102246\pi\) |
−0.471929 | + | 0.881637i | \(0.656442\pi\) | |||||||
\(104\) | 1.47214 | 0.144355 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.562306 | −0.0546160 | ||||||||
\(107\) | 7.11803 | + | 12.3288i | 0.688126 | + | 1.19187i | 0.972443 | + | 0.233139i | \(0.0748999\pi\) |
−0.284317 | + | 0.958730i | \(0.591767\pi\) | |||||||
\(108\) | 2.07295 | − | 3.59045i | 0.199470 | − | 0.345492i | ||||
\(109\) | −5.35410 | + | 9.27358i | −0.512830 | + | 0.888248i | 0.487059 | + | 0.873369i | \(0.338070\pi\) |
−0.999889 | + | 0.0148787i | \(0.995264\pi\) | |||||||
\(110\) | −1.28115 | − | 2.21902i | −0.122153 | − | 0.211575i | ||||
\(111\) | 19.4721 | 1.84821 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −14.9443 | −1.40584 | −0.702919 | − | 0.711269i | \(-0.748121\pi\) | ||||
−0.702919 | + | 0.711269i | \(0.748121\pi\) | |||||||
\(114\) | 1.28115 | + | 2.21902i | 0.119991 | + | 0.207830i | ||||
\(115\) | 4.20820 | − | 7.28882i | 0.392417 | − | 0.679686i | ||||
\(116\) | −4.14590 | + | 7.18091i | −0.384937 | + | 0.666730i | ||||
\(117\) | −1.00000 | − | 1.73205i | −0.0924500 | − | 0.160128i | ||||
\(118\) | 2.85410 | 0.262741 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −7.36068 | −0.671935 | ||||||||
\(121\) | 1.00000 | + | 1.73205i | 0.0909091 | + | 0.157459i | ||||
\(122\) | −0.572949 | + | 0.992377i | −0.0518724 | + | 0.0898456i | ||||
\(123\) | −5.00000 | + | 8.66025i | −0.450835 | + | 0.780869i | ||||
\(124\) | −4.63525 | − | 8.02850i | −0.416258 | − | 0.720980i | ||||
\(125\) | −11.1803 | −1.00000 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 15.4164 | 1.36798 | 0.683992 | − | 0.729489i | \(-0.260242\pi\) | ||||
0.683992 | + | 0.729489i | \(0.260242\pi\) | |||||||
\(128\) | −5.04508 | − | 8.73834i | −0.445927 | − | 0.772368i | ||||
\(129\) | −8.94427 | + | 15.4919i | −0.787499 | + | 1.36399i | ||||
\(130\) | 0.427051 | − | 0.739674i | 0.0374548 | − | 0.0648737i | ||||
\(131\) | −1.88197 | − | 3.25966i | −0.164428 | − | 0.284798i | 0.772024 | − | 0.635593i | \(-0.219245\pi\) |
−0.936452 | + | 0.350796i | \(0.885911\pi\) | |||||||
\(132\) | −12.4377 | −1.08256 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 1.14590 | 0.0989905 | ||||||||
\(135\) | −2.50000 | − | 4.33013i | −0.215166 | − | 0.372678i | ||||
\(136\) | −5.50000 | + | 9.52628i | −0.471621 | + | 0.816872i | ||||
\(137\) | 1.88197 | − | 3.25966i | 0.160787 | − | 0.278492i | −0.774364 | − | 0.632740i | \(-0.781930\pi\) |
0.935151 | + | 0.354249i | \(0.115263\pi\) | |||||||
\(138\) | 1.60739 | + | 2.78408i | 0.136830 | + | 0.236997i | ||||
\(139\) | −3.41641 | −0.289776 | −0.144888 | − | 0.989448i | \(-0.546282\pi\) | ||||
−0.144888 | + | 0.989448i | \(0.546282\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.29180 | 0.277219 | ||||||||
\(142\) | 1.70820 | + | 2.95870i | 0.143349 | + | 0.248288i | ||||
\(143\) | 1.50000 | − | 2.59808i | 0.125436 | − | 0.217262i | ||||
\(144\) | −3.14590 | + | 5.44886i | −0.262158 | + | 0.454071i | ||||
\(145\) | 5.00000 | + | 8.66025i | 0.415227 | + | 0.719195i | ||||
\(146\) | 4.09017 | 0.338505 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 16.1459 | 1.32718 | ||||||||
\(149\) | 6.35410 | + | 11.0056i | 0.520548 | + | 0.901616i | 0.999715 | + | 0.0238920i | \(0.00760577\pi\) |
−0.479166 | + | 0.877724i | \(0.659061\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.20820 | − | 5.55677i | 0.261080 | − | 0.452204i | −0.705449 | − | 0.708760i | \(-0.749255\pi\) |
0.966529 | + | 0.256557i | \(0.0825880\pi\) | |||||||
\(152\) | 2.20820 | + | 3.82472i | 0.179109 | + | 0.310226i | ||||
\(153\) | 14.9443 | 1.20817 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −11.1803 | −0.898027 | ||||||||
\(156\) | −2.07295 | − | 3.59045i | −0.165969 | − | 0.287466i | ||||
\(157\) | 3.50000 | − | 6.06218i | 0.279330 | − | 0.483814i | −0.691888 | − | 0.722005i | \(-0.743221\pi\) |
0.971219 | + | 0.238190i | \(0.0765542\pi\) | |||||||
\(158\) | 2.04508 | − | 3.54219i | 0.162698 | − | 0.281802i | ||||
\(159\) | 1.64590 | + | 2.85078i | 0.130528 | + | 0.226081i | ||||
\(160\) | −9.27051 | −0.732898 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 4.20163 | 0.330111 | ||||||||
\(163\) | −5.20820 | − | 9.02087i | −0.407938 | − | 0.706569i | 0.586721 | − | 0.809789i | \(-0.300419\pi\) |
−0.994659 | + | 0.103220i | \(0.967085\pi\) | |||||||
\(164\) | −4.14590 | + | 7.18091i | −0.323740 | + | 0.560735i | ||||
\(165\) | −7.50000 | + | 12.9904i | −0.583874 | + | 1.01130i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −13.5279 | −1.04682 | −0.523409 | − | 0.852082i | \(-0.675340\pi\) | ||||
−0.523409 | + | 0.852082i | \(0.675340\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 3.19098 | + | 5.52694i | 0.244737 | + | 0.423897i | ||||
\(171\) | 3.00000 | − | 5.19615i | 0.229416 | − | 0.397360i | ||||
\(172\) | −7.41641 | + | 12.8456i | −0.565496 | + | 0.979467i | ||||
\(173\) | 5.20820 | + | 9.02087i | 0.395972 | + | 0.685844i | 0.993225 | − | 0.116209i | \(-0.0370743\pi\) |
−0.597252 | + | 0.802053i | \(0.703741\pi\) | |||||||
\(174\) | −3.81966 | −0.289568 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −9.43769 | −0.711393 | ||||||||
\(177\) | −8.35410 | − | 14.4697i | −0.627933 | − | 1.08761i | ||||
\(178\) | 0.427051 | − | 0.739674i | 0.0320088 | − | 0.0554409i | ||||
\(179\) | −10.0623 | + | 17.4284i | −0.752092 | + | 1.30266i | 0.194715 | + | 0.980860i | \(0.437622\pi\) |
−0.946807 | + | 0.321802i | \(0.895712\pi\) | |||||||
\(180\) | 4.14590 | + | 7.18091i | 0.309017 | + | 0.535233i | ||||
\(181\) | −1.41641 | −0.105281 | −0.0526404 | − | 0.998614i | \(-0.516764\pi\) | ||||
−0.0526404 | + | 0.998614i | \(0.516764\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 6.70820 | 0.495885 | ||||||||
\(184\) | 2.77051 | + | 4.79866i | 0.204245 | + | 0.353762i | ||||
\(185\) | 9.73607 | − | 16.8634i | 0.715810 | − | 1.23982i | ||||
\(186\) | 2.13525 | − | 3.69837i | 0.156564 | − | 0.271178i | ||||
\(187\) | 11.2082 | + | 19.4132i | 0.819625 | + | 1.41963i | ||||
\(188\) | 2.72949 | 0.199069 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.56231 | 0.185889 | ||||||||
\(191\) | 5.59017 | + | 9.68246i | 0.404491 | + | 0.700598i | 0.994262 | − | 0.106972i | \(-0.0341155\pi\) |
−0.589772 | + | 0.807570i | \(0.700782\pi\) | |||||||
\(192\) | −5.26393 | + | 9.11740i | −0.379892 | + | 0.657992i | ||||
\(193\) | 6.35410 | − | 11.0056i | 0.457378 | − | 0.792202i | −0.541443 | − | 0.840737i | \(-0.682122\pi\) |
0.998821 | + | 0.0485349i | \(0.0154552\pi\) | |||||||
\(194\) | 3.32624 | + | 5.76121i | 0.238810 | + | 0.413631i | ||||
\(195\) | −5.00000 | −0.358057 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −26.9443 | −1.91970 | −0.959850 | − | 0.280514i | \(-0.909495\pi\) | ||||
−0.959850 | + | 0.280514i | \(0.909495\pi\) | |||||||
\(198\) | −1.14590 | − | 1.98475i | −0.0814354 | − | 0.141050i | ||||
\(199\) | −3.64590 | + | 6.31488i | −0.258451 | + | 0.447650i | −0.965827 | − | 0.259187i | \(-0.916545\pi\) |
0.707376 | + | 0.706837i | \(0.249879\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −3.35410 | − | 5.80948i | −0.236580 | − | 0.409769i | ||||
\(202\) | −3.43769 | −0.241875 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 30.9787 | 2.16894 | ||||||||
\(205\) | 5.00000 | + | 8.66025i | 0.349215 | + | 0.604858i | ||||
\(206\) | −2.04508 | + | 3.54219i | −0.142488 | + | 0.246796i | ||||
\(207\) | 3.76393 | − | 6.51932i | 0.261611 | − | 0.453124i | ||||
\(208\) | −1.57295 | − | 2.72443i | −0.109064 | − | 0.188905i | ||||
\(209\) | 9.00000 | 0.622543 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.00000 | 0.275371 | 0.137686 | − | 0.990476i | \(-0.456034\pi\) | ||||
0.137686 | + | 0.990476i | \(0.456034\pi\) | |||||||
\(212\) | 1.36475 | + | 2.36381i | 0.0937311 | + | 0.162347i | ||||
\(213\) | 10.0000 | − | 17.3205i | 0.685189 | − | 1.18678i | ||||
\(214\) | −2.71885 | + | 4.70918i | −0.185857 | + | 0.321913i | ||||
\(215\) | 8.94427 | + | 15.4919i | 0.609994 | + | 1.05654i | ||||
\(216\) | 3.29180 | 0.223978 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −4.09017 | −0.277021 | ||||||||
\(219\) | −11.9721 | − | 20.7363i | −0.809002 | − | 1.40123i | ||||
\(220\) | −6.21885 | + | 10.7714i | −0.419275 | + | 0.726205i | ||||
\(221\) | −3.73607 | + | 6.47106i | −0.251315 | + | 0.435291i | ||||
\(222\) | 3.71885 | + | 6.44123i | 0.249593 | + | 0.432307i | ||||
\(223\) | 4.00000 | 0.267860 | 0.133930 | − | 0.990991i | \(-0.457240\pi\) | ||||
0.133930 | + | 0.990991i | \(0.457240\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.85410 | − | 4.94345i | −0.189852 | − | 0.328833i | ||||
\(227\) | −5.97214 | + | 10.3440i | −0.396385 | + | 0.686558i | −0.993277 | − | 0.115763i | \(-0.963069\pi\) |
0.596892 | + | 0.802321i | \(0.296402\pi\) | |||||||
\(228\) | 6.21885 | − | 10.7714i | 0.411853 | − | 0.713351i | ||||
\(229\) | −8.06231 | − | 13.9643i | −0.532772 | − | 0.922788i | −0.999268 | − | 0.0382649i | \(-0.987817\pi\) |
0.466495 | − | 0.884524i | \(-0.345516\pi\) | |||||||
\(230\) | 3.21478 | 0.211976 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.58359 | −0.432234 | ||||||||
\(233\) | 2.97214 | + | 5.14789i | 0.194711 | + | 0.337250i | 0.946806 | − | 0.321806i | \(-0.104290\pi\) |
−0.752095 | + | 0.659055i | \(0.770956\pi\) | |||||||
\(234\) | 0.381966 | − | 0.661585i | 0.0249699 | − | 0.0432491i | ||||
\(235\) | 1.64590 | − | 2.85078i | 0.107367 | − | 0.185964i | ||||
\(236\) | −6.92705 | − | 11.9980i | −0.450913 | − | 0.781004i | ||||
\(237\) | −23.9443 | −1.55535 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −7.41641 | −0.479728 | −0.239864 | − | 0.970807i | \(-0.577103\pi\) | ||||
−0.239864 | + | 0.970807i | \(0.577103\pi\) | |||||||
\(240\) | 7.86475 | + | 13.6221i | 0.507667 | + | 0.879305i | ||||
\(241\) | −4.35410 | + | 7.54153i | −0.280472 | + | 0.485792i | −0.971501 | − | 0.237035i | \(-0.923824\pi\) |
0.691029 | + | 0.722827i | \(0.257158\pi\) | |||||||
\(242\) | −0.381966 | + | 0.661585i | −0.0245537 | + | 0.0425283i | ||||
\(243\) | −8.94427 | − | 15.4919i | −0.573775 | − | 0.993808i | ||||
\(244\) | 5.56231 | 0.356090 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −3.81966 | −0.243533 | ||||||||
\(247\) | 1.50000 | + | 2.59808i | 0.0954427 | + | 0.165312i | ||||
\(248\) | 3.68034 | − | 6.37454i | 0.233702 | − | 0.404783i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.13525 | − | 3.69837i | −0.135045 | − | 0.233905i | ||||
\(251\) | −10.4721 | −0.660995 | −0.330498 | − | 0.943807i | \(-0.607217\pi\) | ||||
−0.330498 | + | 0.943807i | \(0.607217\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 11.2918 | 0.709909 | ||||||||
\(254\) | 2.94427 | + | 5.09963i | 0.184740 | + | 0.319979i | ||||
\(255\) | 18.6803 | − | 32.3553i | 1.16981 | − | 2.02617i | ||||
\(256\) | −2.78115 | + | 4.81710i | −0.173822 | + | 0.301069i | ||||
\(257\) | −8.97214 | − | 15.5402i | −0.559666 | − | 0.969371i | −0.997524 | − | 0.0703264i | \(-0.977596\pi\) |
0.437858 | − | 0.899044i | \(-0.355737\pi\) | |||||||
\(258\) | −6.83282 | −0.425393 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −4.14590 | −0.257118 | ||||||||
\(261\) | 4.47214 | + | 7.74597i | 0.276818 | + | 0.479463i | ||||
\(262\) | 0.718847 | − | 1.24508i | 0.0444105 | − | 0.0769213i | ||||
\(263\) | 7.06231 | − | 12.2323i | 0.435480 | − | 0.754274i | −0.561854 | − | 0.827236i | \(-0.689912\pi\) |
0.997335 | + | 0.0729620i | \(0.0232452\pi\) | |||||||
\(264\) | −4.93769 | − | 8.55234i | −0.303894 | − | 0.526360i | ||||
\(265\) | 3.29180 | 0.202213 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.00000 | −0.305995 | ||||||||
\(268\) | −2.78115 | − | 4.81710i | −0.169886 | − | 0.294251i | ||||
\(269\) | 2.26393 | − | 3.92125i | 0.138034 | − | 0.239083i | −0.788718 | − | 0.614755i | \(-0.789255\pi\) |
0.926753 | + | 0.375672i | \(0.122588\pi\) | |||||||
\(270\) | 0.954915 | − | 1.65396i | 0.0581143 | − | 0.100657i | ||||
\(271\) | 3.20820 | + | 5.55677i | 0.194885 | + | 0.337550i | 0.946863 | − | 0.321638i | \(-0.104233\pi\) |
−0.751978 | + | 0.659188i | \(0.770900\pi\) | |||||||
\(272\) | 23.5066 | 1.42530 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.43769 | 0.0868543 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 7.80244 | − | 13.5142i | 0.469652 | − | 0.813461i | ||||
\(277\) | −13.2082 | + | 22.8773i | −0.793604 | + | 1.37456i | 0.130118 | + | 0.991499i | \(0.458464\pi\) |
−0.923722 | + | 0.383064i | \(0.874869\pi\) | |||||||
\(278\) | −0.652476 | − | 1.13012i | −0.0391329 | − | 0.0677802i | ||||
\(279\) | −10.0000 | −0.598684 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 9.05573 | 0.540219 | 0.270110 | − | 0.962830i | \(-0.412940\pi\) | ||||
0.270110 | + | 0.962830i | \(0.412940\pi\) | |||||||
\(282\) | 0.628677 | + | 1.08890i | 0.0374372 | + | 0.0648431i | ||||
\(283\) | −7.06231 | + | 12.2323i | −0.419811 | + | 0.727133i | −0.995920 | − | 0.0902393i | \(-0.971237\pi\) |
0.576110 | + | 0.817372i | \(0.304570\pi\) | |||||||
\(284\) | 8.29180 | − | 14.3618i | 0.492028 | − | 0.852217i | ||||
\(285\) | −7.50000 | − | 12.9904i | −0.444262 | − | 0.769484i | ||||
\(286\) | 1.14590 | 0.0677584 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −8.29180 | −0.488599 | ||||||||
\(289\) | −19.4164 | − | 33.6302i | −1.14214 | − | 1.97825i | ||||
\(290\) | −1.90983 | + | 3.30792i | −0.112149 | + | 0.194248i | ||||
\(291\) | 19.4721 | − | 33.7267i | 1.14148 | − | 1.97710i | ||||
\(292\) | −9.92705 | − | 17.1942i | −0.580937 | − | 1.00621i | ||||
\(293\) | −2.94427 | −0.172006 | −0.0860031 | − | 0.996295i | \(-0.527409\pi\) | ||||
−0.0860031 | + | 0.996295i | \(0.527409\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −16.7082 | −0.972789 | ||||||||
\(296\) | 6.40983 | + | 11.1022i | 0.372564 | + | 0.645299i | ||||
\(297\) | 3.35410 | − | 5.80948i | 0.194625 | − | 0.337100i | ||||
\(298\) | −2.42705 | + | 4.20378i | −0.140595 | + | 0.243518i | ||||
\(299\) | 1.88197 | + | 3.25966i | 0.108837 | + | 0.188511i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 2.45085 | 0.141031 | ||||||||
\(303\) | 10.0623 | + | 17.4284i | 0.578064 | + | 1.00124i | ||||
\(304\) | 4.71885 | − | 8.17328i | 0.270644 | − | 0.468770i | ||||
\(305\) | 3.35410 | − | 5.80948i | 0.192055 | − | 0.332650i | ||||
\(306\) | 2.85410 | + | 4.94345i | 0.163158 | + | 0.282598i | ||||
\(307\) | 7.41641 | 0.423277 | 0.211638 | − | 0.977348i | \(-0.432120\pi\) | ||||
0.211638 | + | 0.977348i | \(0.432120\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 23.9443 | 1.36214 | ||||||||
\(310\) | −2.13525 | − | 3.69837i | −0.121274 | − | 0.210053i | ||||
\(311\) | −16.1180 | + | 27.9173i | −0.913970 | + | 1.58304i | −0.105567 | + | 0.994412i | \(0.533666\pi\) |
−0.808403 | + | 0.588630i | \(0.799667\pi\) | |||||||
\(312\) | 1.64590 | − | 2.85078i | 0.0931806 | − | 0.161394i | ||||
\(313\) | −16.2082 | − | 28.0734i | −0.916142 | − | 1.58680i | −0.805221 | − | 0.592975i | \(-0.797953\pi\) |
−0.110921 | − | 0.993829i | \(-0.535380\pi\) | |||||||
\(314\) | 2.67376 | 0.150889 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −19.8541 | −1.11688 | ||||||||
\(317\) | 1.88197 | + | 3.25966i | 0.105702 | + | 0.183081i | 0.914025 | − | 0.405659i | \(-0.132958\pi\) |
−0.808323 | + | 0.588739i | \(0.799624\pi\) | |||||||
\(318\) | −0.628677 | + | 1.08890i | −0.0352545 | + | 0.0610625i | ||||
\(319\) | −6.70820 | + | 11.6190i | −0.375587 | + | 0.650536i | ||||
\(320\) | 5.26393 | + | 9.11740i | 0.294263 | + | 0.509678i | ||||
\(321\) | 31.8328 | 1.77673 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −22.4164 | −1.24728 | ||||||||
\(324\) | −10.1976 | − | 17.6627i | −0.566531 | − | 0.981261i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 1.98936 | − | 3.44567i | 0.110180 | − | 0.190838i | ||||
\(327\) | 11.9721 | + | 20.7363i | 0.662061 | + | 1.14672i | ||||
\(328\) | −6.58359 | −0.363518 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −5.72949 | −0.315398 | ||||||||
\(331\) | 14.2082 | + | 24.6093i | 0.780954 | + | 1.35265i | 0.931387 | + | 0.364031i | \(0.118600\pi\) |
−0.150433 | + | 0.988620i | \(0.548067\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 8.70820 | − | 15.0831i | 0.477207 | − | 0.826546i | ||||
\(334\) | −2.58359 | − | 4.47491i | −0.141368 | − | 0.244856i | ||||
\(335\) | −6.70820 | −0.366508 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 18.0000 | 0.980522 | 0.490261 | − | 0.871576i | \(-0.336901\pi\) | ||||
0.490261 | + | 0.871576i | \(0.336901\pi\) | |||||||
\(338\) | 0.190983 | + | 0.330792i | 0.0103881 | + | 0.0179927i | ||||
\(339\) | −16.7082 | + | 28.9395i | −0.907465 | + | 1.57178i | ||||
\(340\) | 15.4894 | − | 26.8284i | 0.840028 | − | 1.45497i | ||||
\(341\) | −7.50000 | − | 12.9904i | −0.406148 | − | 0.703469i | ||||
\(342\) | 2.29180 | 0.123926 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −11.7771 | −0.634978 | ||||||||
\(345\) | −9.40983 | − | 16.2983i | −0.506608 | − | 0.877471i | ||||
\(346\) | −1.98936 | + | 3.44567i | −0.106948 | + | 0.185240i | ||||
\(347\) | 17.5344 | − | 30.3705i | 0.941298 | − | 1.63038i | 0.178299 | − | 0.983976i | \(-0.442940\pi\) |
0.762999 | − | 0.646400i | \(-0.223726\pi\) | |||||||
\(348\) | 9.27051 | + | 16.0570i | 0.496951 | + | 0.860745i | ||||
\(349\) | 2.58359 | 0.138297 | 0.0691483 | − | 0.997606i | \(-0.477972\pi\) | ||||
0.0691483 | + | 0.997606i | \(0.477972\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.23607 | 0.119352 | ||||||||
\(352\) | −6.21885 | − | 10.7714i | −0.331466 | − | 0.574115i | ||||
\(353\) | 15.3541 | − | 26.5941i | 0.817216 | − | 1.41546i | −0.0905091 | − | 0.995896i | \(-0.528849\pi\) |
0.907725 | − | 0.419565i | \(-0.137817\pi\) | |||||||
\(354\) | 3.19098 | − | 5.52694i | 0.169599 | − | 0.293754i | ||||
\(355\) | −10.0000 | − | 17.3205i | −0.530745 | − | 0.919277i | ||||
\(356\) | −4.14590 | −0.219732 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −7.68692 | −0.406266 | ||||||||
\(359\) | 2.97214 | + | 5.14789i | 0.156863 | + | 0.271695i | 0.933736 | − | 0.357963i | \(-0.116528\pi\) |
−0.776873 | + | 0.629658i | \(0.783195\pi\) | |||||||
\(360\) | −3.29180 | + | 5.70156i | −0.173493 | + | 0.300498i | ||||
\(361\) | 5.00000 | − | 8.66025i | 0.263158 | − | 0.455803i | ||||
\(362\) | −0.270510 | − | 0.468537i | −0.0142177 | − | 0.0246257i | ||||
\(363\) | 4.47214 | 0.234726 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −23.9443 | −1.25330 | ||||||||
\(366\) | 1.28115 | + | 2.21902i | 0.0669669 | + | 0.115990i | ||||
\(367\) | 0.354102 | − | 0.613323i | 0.0184840 | − | 0.0320152i | −0.856635 | − | 0.515922i | \(-0.827449\pi\) |
0.875119 | + | 0.483907i | \(0.160783\pi\) | |||||||
\(368\) | 5.92047 | − | 10.2546i | 0.308626 | − | 0.534556i | ||||
\(369\) | 4.47214 | + | 7.74597i | 0.232810 | + | 0.403239i | ||||
\(370\) | 7.43769 | 0.386667 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −20.7295 | −1.07477 | ||||||||
\(373\) | 14.2082 | + | 24.6093i | 0.735673 | + | 1.27422i | 0.954427 | + | 0.298443i | \(0.0964673\pi\) |
−0.218755 | + | 0.975780i | \(0.570199\pi\) | |||||||
\(374\) | −4.28115 | + | 7.41517i | −0.221373 | + | 0.383430i | ||||
\(375\) | −12.5000 | + | 21.6506i | −0.645497 | + | 1.11803i | ||||
\(376\) | 1.08359 | + | 1.87684i | 0.0558820 | + | 0.0967905i | ||||
\(377\) | −4.47214 | −0.230327 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 11.4164 | 0.586421 | 0.293211 | − | 0.956048i | \(-0.405276\pi\) | ||||
0.293211 | + | 0.956048i | \(0.405276\pi\) | |||||||
\(380\) | −6.21885 | − | 10.7714i | −0.319020 | − | 0.552559i | ||||
\(381\) | 17.2361 | − | 29.8537i | 0.883031 | − | 1.52945i | ||||
\(382\) | −2.13525 | + | 3.69837i | −0.109249 | + | 0.189225i | ||||
\(383\) | 7.50000 | + | 12.9904i | 0.383232 | + | 0.663777i | 0.991522 | − | 0.129937i | \(-0.0414776\pi\) |
−0.608290 | + | 0.793715i | \(0.708144\pi\) | |||||||
\(384\) | −22.5623 | −1.15138 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.85410 | 0.247067 | ||||||||
\(387\) | 8.00000 | + | 13.8564i | 0.406663 | + | 0.704361i | ||||
\(388\) | 16.1459 | − | 27.9655i | 0.819684 | − | 1.41973i | ||||
\(389\) | 3.73607 | − | 6.47106i | 0.189426 | − | 0.328096i | −0.755633 | − | 0.654995i | \(-0.772671\pi\) |
0.945059 | + | 0.326900i | \(0.106004\pi\) | |||||||
\(390\) | −0.954915 | − | 1.65396i | −0.0483540 | − | 0.0837516i | ||||
\(391\) | −28.1246 | −1.42232 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −8.41641 | −0.424552 | ||||||||
\(394\) | −5.14590 | − | 8.91296i | −0.259247 | − | 0.449028i | ||||
\(395\) | −11.9721 | + | 20.7363i | −0.602384 | + | 1.04336i | ||||
\(396\) | −5.56231 | + | 9.63420i | −0.279516 | + | 0.484137i | ||||
\(397\) | 7.06231 | + | 12.2323i | 0.354447 | + | 0.613920i | 0.987023 | − | 0.160578i | \(-0.0513358\pi\) |
−0.632576 | + | 0.774498i | \(0.718002\pi\) | |||||||
\(398\) | −2.78522 | −0.139610 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4.88197 | − | 8.45581i | −0.243794 | − | 0.422263i | 0.717998 | − | 0.696045i | \(-0.245059\pi\) |
−0.961792 | + | 0.273782i | \(0.911725\pi\) | |||||||
\(402\) | 1.28115 | − | 2.21902i | 0.0638981 | − | 0.110675i | ||||
\(403\) | 2.50000 | − | 4.33013i | 0.124534 | − | 0.215699i | ||||
\(404\) | 8.34346 | + | 14.4513i | 0.415103 | + | 0.718979i | ||||
\(405\) | −24.5967 | −1.22222 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 26.1246 | 1.29495 | ||||||||
\(408\) | 12.2984 | + | 21.3014i | 0.608860 | + | 1.05458i | ||||
\(409\) | −2.35410 | + | 4.07742i | −0.116403 | + | 0.201616i | −0.918340 | − | 0.395793i | \(-0.870470\pi\) |
0.801937 | + | 0.597409i | \(0.203803\pi\) | |||||||
\(410\) | −1.90983 | + | 3.30792i | −0.0943198 | + | 0.163367i | ||||
\(411\) | −4.20820 | − | 7.28882i | −0.207575 | − | 0.359531i | ||||
\(412\) | 19.8541 | 0.978141 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 2.87539 | 0.141318 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 2.07295 | − | 3.59045i | 0.101635 | − | 0.176036i | ||||
\(417\) | −3.81966 | + | 6.61585i | −0.187050 | + | 0.323979i | ||||
\(418\) | 1.71885 | + | 2.97713i | 0.0840716 | + | 0.145616i | ||||
\(419\) | −15.0557 | −0.735520 | −0.367760 | − | 0.929921i | \(-0.619875\pi\) | ||||
−0.367760 | + | 0.929921i | \(0.619875\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −13.4164 | −0.653876 | −0.326938 | − | 0.945046i | \(-0.606017\pi\) | ||||
−0.326938 | + | 0.945046i | \(0.606017\pi\) | |||||||
\(422\) | 0.763932 | + | 1.32317i | 0.0371876 | + | 0.0644109i | ||||
\(423\) | 1.47214 | − | 2.54981i | 0.0715777 | − | 0.123976i | ||||
\(424\) | −1.08359 | + | 1.87684i | −0.0526239 | + | 0.0911472i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 7.63932 | 0.370126 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 26.3951 | 1.27586 | ||||||||
\(429\) | −3.35410 | − | 5.80948i | −0.161938 | − | 0.280484i | ||||
\(430\) | −3.41641 | + | 5.91739i | −0.164754 | + | 0.285362i | ||||
\(431\) | −6.68034 | + | 11.5707i | −0.321781 | + | 0.557340i | −0.980856 | − | 0.194737i | \(-0.937615\pi\) |
0.659075 | + | 0.752077i | \(0.270948\pi\) | |||||||
\(432\) | −3.51722 | − | 6.09201i | −0.169222 | − | 0.293102i | ||||
\(433\) | −2.58359 | −0.124160 | −0.0620798 | − | 0.998071i | \(-0.519773\pi\) | ||||
−0.0620798 | + | 0.998071i | \(0.519773\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 22.3607 | 1.07211 | ||||||||
\(436\) | 9.92705 | + | 17.1942i | 0.475420 | + | 0.823451i | ||||
\(437\) | −5.64590 | + | 9.77898i | −0.270080 | + | 0.467792i | ||||
\(438\) | 4.57295 | − | 7.92058i | 0.218504 | − | 0.378460i | ||||
\(439\) | −8.06231 | − | 13.9643i | −0.384793 | − | 0.666481i | 0.606948 | − | 0.794742i | \(-0.292394\pi\) |
−0.991740 | + | 0.128261i | \(0.959060\pi\) | |||||||
\(440\) | −9.87539 | −0.470791 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.85410 | −0.135756 | ||||||||
\(443\) | 1.11803 | + | 1.93649i | 0.0531194 | + | 0.0920055i | 0.891362 | − | 0.453291i | \(-0.149750\pi\) |
−0.838243 | + | 0.545297i | \(0.816417\pi\) | |||||||
\(444\) | 18.0517 | − | 31.2664i | 0.856694 | − | 1.48384i | ||||
\(445\) | −2.50000 | + | 4.33013i | −0.118511 | + | 0.205268i | ||||
\(446\) | 0.763932 | + | 1.32317i | 0.0361732 | + | 0.0626539i | ||||
\(447\) | 28.4164 | 1.34405 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 10.3607 | 0.488951 | 0.244475 | − | 0.969656i | \(-0.421384\pi\) | ||||
0.244475 | + | 0.969656i | \(0.421384\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.70820 | + | 11.6190i | −0.315877 | + | 0.547115i | ||||
\(452\) | −13.8541 | + | 23.9960i | −0.651642 | + | 1.12868i | ||||
\(453\) | −7.17376 | − | 12.4253i | −0.337053 | − | 0.583792i | ||||
\(454\) | −4.56231 | −0.214120 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 9.87539 | 0.462457 | ||||||||
\(457\) | −17.0623 | − | 29.5528i | −0.798141 | − | 1.38242i | −0.920825 | − | 0.389975i | \(-0.872484\pi\) |
0.122684 | − | 0.992446i | \(-0.460850\pi\) | |||||||
\(458\) | 3.07953 | − | 5.33390i | 0.143897 | − | 0.249237i | ||||
\(459\) | −8.35410 | + | 14.4697i | −0.389936 | + | 0.675389i | ||||
\(460\) | −7.80244 | − | 13.5142i | −0.363791 | − | 0.630104i | ||||
\(461\) | 10.3607 | 0.482545 | 0.241272 | − | 0.970457i | \(-0.422435\pi\) | ||||
0.241272 | + | 0.970457i | \(0.422435\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −24.0000 | −1.11537 | −0.557687 | − | 0.830051i | \(-0.688311\pi\) | ||||
−0.557687 | + | 0.830051i | \(0.688311\pi\) | |||||||
\(464\) | 7.03444 | + | 12.1840i | 0.326566 | + | 0.565628i | ||||
\(465\) | −12.5000 | + | 21.6506i | −0.579674 | + | 1.00402i | ||||
\(466\) | −1.13525 | + | 1.96632i | −0.0525897 | + | 0.0910880i | ||||
\(467\) | −10.8262 | − | 18.7516i | −0.500979 | − | 0.867720i | −0.999999 | − | 0.00113029i | \(-0.999640\pi\) |
0.499021 | − | 0.866590i | \(-0.333693\pi\) | |||||||
\(468\) | −3.70820 | −0.171412 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 1.25735 | 0.0579974 | ||||||||
\(471\) | −7.82624 | − | 13.5554i | −0.360614 | − | 0.624602i | ||||
\(472\) | 5.50000 | − | 9.52628i | 0.253158 | − | 0.438483i | ||||
\(473\) | −12.0000 | + | 20.7846i | −0.551761 | + | 0.955677i | ||||
\(474\) | −4.57295 | − | 7.92058i | −0.210043 | − | 0.363804i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.94427 | 0.134809 | ||||||||
\(478\) | −1.41641 | − | 2.45329i | −0.0647850 | − | 0.112211i | ||||
\(479\) | −14.9164 | + | 25.8360i | −0.681548 | + | 1.18048i | 0.292960 | + | 0.956125i | \(0.405360\pi\) |
−0.974508 | + | 0.224351i | \(0.927974\pi\) | |||||||
\(480\) | −10.3647 | + | 17.9523i | −0.473084 | + | 0.819405i | ||||
\(481\) | 4.35410 | + | 7.54153i | 0.198530 | + | 0.343864i | ||||
\(482\) | −3.32624 | −0.151506 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.70820 | 0.168555 | ||||||||
\(485\) | −19.4721 | − | 33.7267i | −0.884184 | − | 1.53145i | ||||
\(486\) | 3.41641 | − | 5.91739i | 0.154971 | − | 0.268418i | ||||
\(487\) | −15.9164 | + | 27.5680i | −0.721241 | + | 1.24923i | 0.239261 | + | 0.970955i | \(0.423095\pi\) |
−0.960503 | + | 0.278271i | \(0.910239\pi\) | |||||||
\(488\) | 2.20820 | + | 3.82472i | 0.0999607 | + | 0.173137i | ||||
\(489\) | −23.2918 | −1.05329 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −34.4721 | −1.55571 | −0.777853 | − | 0.628446i | \(-0.783691\pi\) | ||||
−0.777853 | + | 0.628446i | \(0.783691\pi\) | |||||||
\(492\) | 9.27051 | + | 16.0570i | 0.417947 | + | 0.723905i | ||||
\(493\) | 16.7082 | − | 28.9395i | 0.752500 | − | 1.30337i | ||||
\(494\) | −0.572949 | + | 0.992377i | −0.0257782 | + | 0.0446491i | ||||
\(495\) | 6.70820 | + | 11.6190i | 0.301511 | + | 0.522233i | ||||
\(496\) | −15.7295 | −0.706275 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.208204 | + | 0.360620i | 0.00932049 | + | 0.0161436i | 0.870648 | − | 0.491907i | \(-0.163700\pi\) |
−0.861328 | + | 0.508050i | \(0.830366\pi\) | |||||||
\(500\) | −10.3647 | + | 17.9523i | −0.463525 | + | 0.802850i | ||||
\(501\) | −15.1246 | + | 26.1966i | −0.675718 | + | 1.17038i | ||||
\(502\) | −2.00000 | − | 3.46410i | −0.0892644 | − | 0.154610i | ||||
\(503\) | −3.05573 | −0.136248 | −0.0681241 | − | 0.997677i | \(-0.521701\pi\) | ||||
−0.0681241 | + | 0.997677i | \(0.521701\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 20.1246 | 0.895533 | ||||||||
\(506\) | 2.15654 | + | 3.73524i | 0.0958699 | + | 0.166052i | ||||
\(507\) | 1.11803 | − | 1.93649i | 0.0496536 | − | 0.0860026i | ||||
\(508\) | 14.2918 | − | 24.7541i | 0.634096 | − | 1.09829i | ||||
\(509\) | −7.88197 | − | 13.6520i | −0.349362 | − | 0.605113i | 0.636774 | − | 0.771050i | \(-0.280268\pi\) |
−0.986136 | + | 0.165938i | \(0.946935\pi\) | |||||||
\(510\) | 14.2705 | 0.631909 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −22.3050 | −0.985749 | ||||||||
\(513\) | 3.35410 | + | 5.80948i | 0.148087 | + | 0.256495i | ||||
\(514\) | 3.42705 | − | 5.93583i | 0.151161 | − | 0.261818i | ||||
\(515\) | 11.9721 | − | 20.7363i | 0.527555 | − | 0.913753i | ||||
\(516\) | 16.5836 | + | 28.7236i | 0.730052 | + | 1.26449i | ||||
\(517\) | 4.41641 | 0.194233 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 23.2918 | 1.02240 | ||||||||
\(520\) | −1.64590 | − | 2.85078i | −0.0721774 | − | 0.125015i | ||||
\(521\) | −0.0278640 | + | 0.0482619i | −0.00122075 | + | 0.00211439i | −0.866635 | − | 0.498942i | \(-0.833722\pi\) |
0.865414 | + | 0.501057i | \(0.167055\pi\) | |||||||
\(522\) | −1.70820 | + | 2.95870i | −0.0747661 | + | 0.129499i | ||||
\(523\) | 9.64590 | + | 16.7072i | 0.421786 | + | 0.730554i | 0.996114 | − | 0.0880707i | \(-0.0280701\pi\) |
−0.574329 | + | 0.818625i | \(0.694737\pi\) | |||||||
\(524\) | −6.97871 | −0.304867 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.39512 | 0.235238 | ||||||||
\(527\) | 18.6803 | + | 32.3553i | 0.813728 | + | 1.40942i | ||||
\(528\) | −10.5517 | + | 18.2760i | −0.459202 | + | 0.795362i | ||||
\(529\) | 4.41641 | − | 7.64944i | 0.192018 | − | 0.332584i | ||||
\(530\) | 0.628677 | + | 1.08890i | 0.0273080 | + | 0.0472988i | ||||
\(531\) | −14.9443 | −0.648526 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.47214 | −0.193710 | ||||||||
\(534\) | −0.954915 | − | 1.65396i | −0.0413232 | − | 0.0715739i | ||||
\(535\) | 15.9164 | − | 27.5680i | 0.688126 | − | 1.19187i | ||||
\(536\) | 2.20820 | − | 3.82472i | 0.0953799 | − | 0.165203i | ||||
\(537\) | 22.5000 | + | 38.9711i | 0.970947 | + | 1.68173i | ||||
\(538\) | 1.72949 | 0.0745636 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −9.27051 | −0.398939 | ||||||||
\(541\) | −7.35410 | − | 12.7377i | −0.316178 | − | 0.547636i | 0.663510 | − | 0.748168i | \(-0.269066\pi\) |
−0.979687 | + | 0.200532i | \(0.935733\pi\) | |||||||
\(542\) | −1.22542 | + | 2.12250i | −0.0526365 | + | 0.0911691i | ||||
\(543\) | −1.58359 | + | 2.74286i | −0.0679584 | + | 0.117707i | ||||
\(544\) | 15.4894 | + | 26.8284i | 0.664101 | + | 1.15026i | ||||
\(545\) | 23.9443 | 1.02566 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −31.4164 | −1.34327 | −0.671634 | − | 0.740883i | \(-0.734407\pi\) | ||||
−0.671634 | + | 0.740883i | \(0.734407\pi\) | |||||||
\(548\) | −3.48936 | − | 6.04374i | −0.149058 | − | 0.258176i | ||||
\(549\) | 3.00000 | − | 5.19615i | 0.128037 | − | 0.221766i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.70820 | − | 11.6190i | −0.285779 | − | 0.494984i | ||||
\(552\) | 12.3901 | 0.527358 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −10.0902 | −0.428690 | ||||||||
\(555\) | −21.7705 | − | 37.7076i | −0.924107 | − | 1.60060i | ||||
\(556\) | −3.16718 | + | 5.48572i | −0.134319 | + | 0.232647i | ||||
\(557\) | 2.64590 | − | 4.58283i | 0.112110 | − | 0.194181i | −0.804511 | − | 0.593938i | \(-0.797572\pi\) |
0.916621 | + | 0.399758i | \(0.130906\pi\) | |||||||
\(558\) | −1.90983 | − | 3.30792i | −0.0808496 | − | 0.140036i | ||||
\(559\) | −8.00000 | −0.338364 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 50.1246 | 2.11626 | ||||||||
\(562\) | 1.72949 | + | 2.99556i | 0.0729541 | + | 0.126360i | ||||
\(563\) | −18.2984 | + | 31.6937i | −0.771185 | + | 1.33573i | 0.165730 | + | 0.986171i | \(0.447002\pi\) |
−0.936914 | + | 0.349560i | \(0.886331\pi\) | |||||||
\(564\) | 3.05166 | − | 5.28563i | 0.128498 | − | 0.222565i | ||||
\(565\) | 16.7082 | + | 28.9395i | 0.702919 | + | 1.21749i | ||||
\(566\) | −5.39512 | −0.226774 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 13.1672 | 0.552483 | ||||||||
\(569\) | −8.26393 | − | 14.3136i | −0.346442 | − | 0.600055i | 0.639173 | − | 0.769063i | \(-0.279277\pi\) |
−0.985615 | + | 0.169008i | \(0.945944\pi\) | |||||||
\(570\) | 2.86475 | − | 4.96188i | 0.119991 | − | 0.207830i | ||||
\(571\) | −2.06231 | + | 3.57202i | −0.0863048 | + | 0.149484i | −0.905946 | − | 0.423392i | \(-0.860839\pi\) |
0.819642 | + | 0.572877i | \(0.194173\pi\) | |||||||
\(572\) | −2.78115 | − | 4.81710i | −0.116286 | − | 0.201413i | ||||
\(573\) | 25.0000 | 1.04439 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 4.70820 | + | 8.15485i | 0.196175 | + | 0.339785i | ||||
\(577\) | −16.3541 | + | 28.3261i | −0.680830 | + | 1.17923i | 0.293898 | + | 0.955837i | \(0.405047\pi\) |
−0.974728 | + | 0.223396i | \(0.928286\pi\) | |||||||
\(578\) | 7.41641 | − | 12.8456i | 0.308482 | − | 0.534306i | ||||
\(579\) | −14.2082 | − | 24.6093i | −0.590473 | − | 1.02273i | ||||
\(580\) | 18.5410 | 0.769874 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 14.8754 | 0.616605 | ||||||||
\(583\) | 2.20820 | + | 3.82472i | 0.0914545 | + | 0.158404i | ||||
\(584\) | 7.88197 | − | 13.6520i | 0.326158 | − | 0.564922i | ||||
\(585\) | −2.23607 | + | 3.87298i | −0.0924500 | + | 0.160128i | ||||
\(586\) | −0.562306 | − | 0.973942i | −0.0232286 | − | 0.0402332i | ||||
\(587\) | 41.8885 | 1.72893 | 0.864463 | − | 0.502697i | \(-0.167659\pi\) | ||||
0.864463 | + | 0.502697i | \(0.167659\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.0000 | 0.618064 | ||||||||
\(590\) | −3.19098 | − | 5.52694i | −0.131371 | − | 0.227541i | ||||
\(591\) | −30.1246 | + | 52.1774i | −1.23916 | + | 2.14629i | ||||
\(592\) | 13.6976 | − | 23.7249i | 0.562966 | − | 0.975086i | ||||
\(593\) | 16.1180 | + | 27.9173i | 0.661888 | + | 1.14642i | 0.980119 | + | 0.198411i | \(0.0635780\pi\) |
−0.318231 | + | 0.948013i | \(0.603089\pi\) | |||||||
\(594\) | 2.56231 | 0.105133 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 23.5623 | 0.965150 | ||||||||
\(597\) | 8.15248 | + | 14.1205i | 0.333659 | + | 0.577914i | ||||
\(598\) | −0.718847 | + | 1.24508i | −0.0293958 | + | 0.0509151i | ||||
\(599\) | −20.5344 | + | 35.5667i | −0.839015 | + | 1.45322i | 0.0517049 | + | 0.998662i | \(0.483534\pi\) |
−0.890719 | + | 0.454553i | \(0.849799\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 22.0000 | 0.897399 | 0.448699 | − | 0.893683i | \(-0.351887\pi\) | ||||
0.448699 | + | 0.893683i | \(0.351887\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −6.00000 | −0.244339 | ||||||||
\(604\) | −5.94834 | − | 10.3028i | −0.242034 | − | 0.419216i | ||||
\(605\) | 2.23607 | − | 3.87298i | 0.0909091 | − | 0.157459i | ||||
\(606\) | −3.84346 | + | 6.65707i | −0.156130 | + | 0.270425i | ||||
\(607\) | −8.06231 | − | 13.9643i | −0.327239 | − | 0.566794i | 0.654724 | − | 0.755868i | \(-0.272785\pi\) |
−0.981963 | + | 0.189074i | \(0.939452\pi\) | |||||||
\(608\) | 12.4377 | 0.504415 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.56231 | 0.103745 | ||||||||
\(611\) | 0.736068 | + | 1.27491i | 0.0297781 | + | 0.0515772i | ||||
\(612\) | 13.8541 | − | 23.9960i | 0.560019 | − | 0.969981i | ||||
\(613\) | −11.0623 | + | 19.1605i | −0.446802 | + | 0.773884i | −0.998176 | − | 0.0603742i | \(-0.980771\pi\) |
0.551373 | + | 0.834259i | \(0.314104\pi\) | |||||||
\(614\) | 1.41641 | + | 2.45329i | 0.0571616 | + | 0.0990067i | ||||
\(615\) | 22.3607 | 0.901670 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 4.47214 | 0.180041 | 0.0900207 | − | 0.995940i | \(-0.471307\pi\) | ||||
0.0900207 | + | 0.995940i | \(0.471307\pi\) | |||||||
\(618\) | 4.57295 | + | 7.92058i | 0.183951 | + | 0.318612i | ||||
\(619\) | 8.50000 | − | 14.7224i | 0.341644 | − | 0.591744i | −0.643094 | − | 0.765787i | \(-0.722350\pi\) |
0.984738 | + | 0.174042i | \(0.0556830\pi\) | |||||||
\(620\) | −10.3647 | + | 17.9523i | −0.416258 | + | 0.720980i | ||||
\(621\) | 4.20820 | + | 7.28882i | 0.168869 | + | 0.292490i | ||||
\(622\) | −12.3131 | −0.493710 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −7.03444 | −0.281603 | ||||||||
\(625\) | 12.5000 | + | 21.6506i | 0.500000 | + | 0.866025i | ||||
\(626\) | 6.19098 | − | 10.7231i | 0.247441 | − | 0.428581i | ||||
\(627\) | 10.0623 | − | 17.4284i | 0.401850 | − | 0.696024i | ||||
\(628\) | −6.48936 | − | 11.2399i | −0.258954 | − | 0.448521i | ||||
\(629\) | −65.0689 | −2.59447 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −30.8328 | −1.22744 | −0.613718 | − | 0.789526i | \(-0.710327\pi\) | ||||
−0.613718 | + | 0.789526i | \(0.710327\pi\) | |||||||
\(632\) | −7.88197 | − | 13.6520i | −0.313528 | − | 0.543046i | ||||
\(633\) | 4.47214 | − | 7.74597i | 0.177751 | − | 0.307875i | ||||
\(634\) | −0.718847 | + | 1.24508i | −0.0285491 | + | 0.0494484i | ||||
\(635\) | −17.2361 | − | 29.8537i | −0.683992 | − | 1.18471i | ||||
\(636\) | 6.10333 | 0.242013 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −5.12461 | −0.202885 | ||||||||
\(639\) | −8.94427 | − | 15.4919i | −0.353830 | − | 0.612851i | ||||
\(640\) | −11.2812 | + | 19.5395i | −0.445927 | + | 0.772368i | ||||
\(641\) | 2.97214 | − | 5.14789i | 0.117392 | − | 0.203329i | −0.801341 | − | 0.598208i | \(-0.795880\pi\) |
0.918734 | + | 0.394878i | \(0.129213\pi\) | |||||||
\(642\) | 6.07953 | + | 10.5300i | 0.239940 | + | 0.415588i | ||||
\(643\) | 18.8328 | 0.742694 | 0.371347 | − | 0.928494i | \(-0.378896\pi\) | ||||
0.371347 | + | 0.928494i | \(0.378896\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 40.0000 | 1.57500 | ||||||||
\(646\) | −4.28115 | − | 7.41517i | −0.168440 | − | 0.291746i | ||||
\(647\) | 7.88197 | − | 13.6520i | 0.309872 | − | 0.536714i | −0.668462 | − | 0.743746i | \(-0.733047\pi\) |
0.978334 | + | 0.207032i | \(0.0663804\pi\) | |||||||
\(648\) | 8.09675 | − | 14.0240i | 0.318070 | − | 0.550914i | ||||
\(649\) | −11.2082 | − | 19.4132i | −0.439960 | − | 0.762034i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −19.3131 | −0.756359 | ||||||||
\(653\) | −6.73607 | − | 11.6672i | −0.263603 | − | 0.456573i | 0.703594 | − | 0.710602i | \(-0.251577\pi\) |
−0.967197 | + | 0.254029i | \(0.918244\pi\) | |||||||
\(654\) | −4.57295 | + | 7.92058i | −0.178816 | + | 0.309719i | ||||
\(655\) | −4.20820 | + | 7.28882i | −0.164428 | + | 0.284798i | ||||
\(656\) | 7.03444 | + | 12.1840i | 0.274649 | + | 0.475706i | ||||
\(657\) | −21.4164 | −0.835534 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 8.94427 | 0.348419 | 0.174210 | − | 0.984709i | \(-0.444263\pi\) | ||||
0.174210 | + | 0.984709i | \(0.444263\pi\) | |||||||
\(660\) | 13.9058 | + | 24.0855i | 0.541281 | + | 0.937526i | ||||
\(661\) | 3.35410 | − | 5.80948i | 0.130459 | − | 0.225962i | −0.793394 | − | 0.608708i | \(-0.791688\pi\) |
0.923854 | + | 0.382746i | \(0.125021\pi\) | |||||||
\(662\) | −5.42705 | + | 9.39993i | −0.210928 | + | 0.365339i | ||||
\(663\) | 8.35410 | + | 14.4697i | 0.324446 | + | 0.561958i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 6.65248 | 0.257778 | ||||||||
\(667\) | −8.41641 | − | 14.5776i | −0.325885 | − | 0.564449i | ||||
\(668\) | −12.5410 | + | 21.7217i | −0.485227 | + | 0.840437i | ||||
\(669\) | 4.47214 | − | 7.74597i | 0.172903 | − | 0.299476i | ||||
\(670\) | −1.28115 | − | 2.21902i | −0.0494953 | − | 0.0857283i | ||||
\(671\) | 9.00000 | 0.347441 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 17.4164 | 0.671353 | 0.335677 | − | 0.941977i | \(-0.391035\pi\) | ||||
0.335677 | + | 0.941977i | \(0.391035\pi\) | |||||||
\(674\) | 3.43769 | + | 5.95426i | 0.132415 | + | 0.229350i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.927051 | − | 1.60570i | 0.0356558 | − | 0.0617577i | ||||
\(677\) | 16.4443 | + | 28.4823i | 0.632005 | + | 1.09466i | 0.987141 | + | 0.159850i | \(0.0511010\pi\) |
−0.355137 | + | 0.934814i | \(0.615566\pi\) | |||||||
\(678\) | −12.7639 | −0.490196 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 24.5967 | 0.943242 | ||||||||
\(681\) | 13.3541 | + | 23.1300i | 0.511730 | + | 0.886343i | ||||
\(682\) | 2.86475 | − | 4.96188i | 0.109697 | − | 0.190000i | ||||
\(683\) | 2.26393 | − | 3.92125i | 0.0866270 | − | 0.150042i | −0.819456 | − | 0.573142i | \(-0.805725\pi\) |
0.906083 | + | 0.423099i | \(0.139058\pi\) | |||||||
\(684\) | −5.56231 | − | 9.63420i | −0.212680 | − | 0.368373i | ||||
\(685\) | −8.41641 | −0.321574 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −36.0557 | −1.37561 | ||||||||
\(688\) | 12.5836 | + | 21.7954i | 0.479745 | + | 0.830943i | ||||
\(689\) | −0.736068 | + | 1.27491i | −0.0280420 | + | 0.0485701i | ||||
\(690\) | 3.59424 | − | 6.22540i | 0.136830 | − | 0.236997i | ||||
\(691\) | 0.916408 | + | 1.58726i | 0.0348618 | + | 0.0603824i | 0.882930 | − | 0.469505i | \(-0.155568\pi\) |
−0.848068 | + | 0.529887i | \(0.822234\pi\) | |||||||
\(692\) | 19.3131 | 0.734173 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 13.3951 | 0.508472 | ||||||||
\(695\) | 3.81966 | + | 6.61585i | 0.144888 | + | 0.250953i | ||||
\(696\) | −7.36068 | + | 12.7491i | −0.279006 | + | 0.483252i | ||||
\(697\) | 16.7082 | − | 28.9395i | 0.632868 | − | 1.09616i | ||||
\(698\) | 0.493422 | + | 0.854632i | 0.0186763 | + | 0.0323483i | ||||
\(699\) | 13.2918 | 0.502742 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 22.3607 | 0.844551 | 0.422276 | − | 0.906467i | \(-0.361231\pi\) | ||||
0.422276 | + | 0.906467i | \(0.361231\pi\) | |||||||
\(702\) | 0.427051 | + | 0.739674i | 0.0161180 | + | 0.0279172i | ||||
\(703\) | −13.0623 | + | 22.6246i | −0.492654 | + | 0.853302i | ||||
\(704\) | −7.06231 | + | 12.2323i | −0.266171 | + | 0.461021i | ||||
\(705\) | −3.68034 | − | 6.37454i | −0.138610 | − | 0.240079i | ||||
\(706\) | 11.7295 | 0.441445 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −30.9787 | −1.16425 | ||||||||
\(709\) | 4.93769 | + | 8.55234i | 0.185439 | + | 0.321190i | 0.943724 | − | 0.330733i | \(-0.107296\pi\) |
−0.758285 | + | 0.651923i | \(0.773963\pi\) | |||||||
\(710\) | 3.81966 | − | 6.61585i | 0.143349 | − | 0.248288i | ||||
\(711\) | −10.7082 | + | 18.5472i | −0.401589 | + | 0.695573i | ||||
\(712\) | −1.64590 | − | 2.85078i | −0.0616826 | − | 0.106837i | ||||
\(713\) | 18.8197 | 0.704802 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.70820 | −0.250873 | ||||||||
\(716\) | 18.6565 | + | 32.3141i | 0.697228 | + | 1.20763i | ||||
\(717\) | −8.29180 | + | 14.3618i | −0.309663 | + | 0.536352i | ||||
\(718\) | −1.13525 | + | 1.96632i | −0.0423673 | + | 0.0733824i | ||||
\(719\) | 5.64590 | + | 9.77898i | 0.210556 | + | 0.364694i | 0.951889 | − | 0.306444i | \(-0.0991391\pi\) |
−0.741332 | + | 0.671138i | \(0.765806\pi\) | |||||||
\(720\) | 14.0689 | 0.524316 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 3.81966 | 0.142153 | ||||||||
\(723\) | 9.73607 | + | 16.8634i | 0.362088 | + | 0.627155i | ||||
\(724\) | −1.31308 | + | 2.27433i | −0.0488003 | + | 0.0845246i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.854102 | + | 1.47935i | 0.0316987 | + | 0.0549038i | ||||
\(727\) | −14.8328 | −0.550119 | −0.275059 | − | 0.961427i | \(-0.588698\pi\) | ||||
−0.275059 | + | 0.961427i | \(0.588698\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −7.00000 | −0.259259 | ||||||||
\(730\) | −4.57295 | − | 7.92058i | −0.169252 | − | 0.293154i | ||||
\(731\) | 29.8885 | − | 51.7685i | 1.10547 | − | 1.91473i | ||||
\(732\) | 6.21885 | − | 10.7714i | 0.229855 | − | 0.398121i | ||||
\(733\) | 7.64590 | + | 13.2431i | 0.282408 | + | 0.489144i | 0.971977 | − | 0.235075i | \(-0.0755336\pi\) |
−0.689570 | + | 0.724219i | \(0.742200\pi\) | |||||||
\(734\) | 0.270510 | 0.00998470 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 15.6049 | 0.575203 | ||||||||
\(737\) | −4.50000 | − | 7.79423i | −0.165760 | − | 0.287104i | ||||
\(738\) | −1.70820 | + | 2.95870i | −0.0628799 | + | 0.108911i | ||||
\(739\) | −17.9164 | + | 31.0321i | −0.659066 | + | 1.14154i | 0.321792 | + | 0.946810i | \(0.395715\pi\) |
−0.980858 | + | 0.194725i | \(0.937619\pi\) | |||||||
\(740\) | −18.0517 | − | 31.2664i | −0.663592 | − | 1.14938i | ||||
\(741\) | 6.70820 | 0.246432 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 15.0557 | 0.552341 | 0.276171 | − | 0.961109i | \(-0.410935\pi\) | ||||
0.276171 | + | 0.961109i | \(0.410935\pi\) | |||||||
\(744\) | −8.22949 | − | 14.2539i | −0.301708 | − | 0.522573i | ||||
\(745\) | 14.2082 | − | 24.6093i | 0.520548 | − | 0.901616i | ||||
\(746\) | −5.42705 | + | 9.39993i | −0.198698 | + | 0.344156i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 41.5623 | 1.51967 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −9.54915 | −0.348686 | ||||||||
\(751\) | −15.0623 | − | 26.0887i | −0.549631 | − | 0.951989i | −0.998300 | − | 0.0582911i | \(-0.981435\pi\) |
0.448668 | − | 0.893698i | \(-0.351898\pi\) | |||||||
\(752\) | 2.31559 | − | 4.01073i | 0.0844411 | − | 0.146256i | ||||
\(753\) | −11.7082 | + | 20.2792i | −0.426671 | + | 0.739015i | ||||
\(754\) | −0.854102 | − | 1.47935i | −0.0311046 | − | 0.0538747i | ||||
\(755\) | −14.3475 | −0.522160 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.832816 | 0.0302692 | 0.0151346 | − | 0.999885i | \(-0.495182\pi\) | ||||
0.0151346 | + | 0.999885i | \(0.495182\pi\) | |||||||
\(758\) | 2.18034 | + | 3.77646i | 0.0791935 | + | 0.137167i | ||||
\(759\) | 12.6246 | − | 21.8665i | 0.458244 | − | 0.793703i | ||||
\(760\) | 4.93769 | − | 8.55234i | 0.179109 | − | 0.310226i | ||||
\(761\) | 16.7705 | + | 29.0474i | 0.607931 | + | 1.05297i | 0.991581 | + | 0.129488i | \(0.0413334\pi\) |
−0.383650 | + | 0.923478i | \(0.625333\pi\) | |||||||
\(762\) | 13.1672 | 0.476997 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 20.7295 | 0.749967 | ||||||||
\(765\) | −16.7082 | − | 28.9395i | −0.604086 | − | 1.04631i | ||||
\(766\) | −2.86475 | + | 4.96188i | −0.103507 | + | 0.179280i | ||||
\(767\) | 3.73607 | − | 6.47106i | 0.134902 | − | 0.233656i | ||||
\(768\) | 6.21885 | + | 10.7714i | 0.224403 | + | 0.388678i | ||||
\(769\) | −46.0000 | −1.65880 | −0.829401 | − | 0.558653i | \(-0.811318\pi\) | ||||
−0.829401 | + | 0.558653i | \(0.811318\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −40.1246 | −1.44505 | ||||||||
\(772\) | −11.7812 | − | 20.4056i | −0.424013 | − | 0.734412i | ||||
\(773\) | 5.53444 | − | 9.58593i | 0.199060 | − | 0.344782i | −0.749164 | − | 0.662385i | \(-0.769544\pi\) |
0.948224 | + | 0.317603i | \(0.102878\pi\) | |||||||
\(774\) | −3.05573 | + | 5.29268i | −0.109836 | + | 0.190241i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 25.6393 | 0.920398 | ||||||||
\(777\) |